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DISOPT
2008
138views more  DISOPT 2008»
13 years 4 months ago
An algorithmic framework for convex mixed integer nonlinear programs
This paper is motivated by the fact that mixed integer nonlinear programming is an important and difficult area for which there is a need for developing new methods and software f...
Pierre Bonami, Lorenz T. Biegler, Andrew R. Conn, ...
ENDM
2010
81views more  ENDM 2010»
13 years 4 months ago
Mixed Integer NonLinear Programs featuring "On/Off" constraints: convex analysis and applications
We call "on/off" constraint an algebraic constraint that is activated if and only if
Hassan Hijazi, Pierre Bonami, Gérard Cornu&...
MP
2010
128views more  MP 2010»
13 years 3 months ago
Perspective reformulations of mixed integer nonlinear programs with indicator variables
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...
Oktay Günlük, Jeff Linderoth
CCE
2004
13 years 4 months ago
Computational studies using a novel simplicial-approximation based algorithm for MINLP optimization
Significant advances have been made in the last two decades for the effective solution of mixed integer non-linear programming (MINLP) problems, mainly by exploiting the special s...
Vishal Goyal, Marianthi G. Ierapetritou
IOR
2011
133views more  IOR 2011»
12 years 11 months ago
Finite Disjunctive Programming Characterizations for General Mixed-Integer Linear Programs
In this paper, we give a finite disjunctive programming procedure to obtain the convex hull of general mixed-integer linear programs (MILP) with bounded integer variables. We prop...
Binyuan Chen, Simge Küçükyavuz, S...